Length of Crest without considering Velocity Calculator

✖Francis Discharge is calculated from the empirical formula given by Francis.ⓘ Francis Discharge [Q_Fr]			+10% -10%
✖Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Number of End Contraction 1 can be described as the end contractions acting on a channel.ⓘ Number of End Contraction [n]			+10% -10%
✖Height of Water above Crest of Weir is defined as the water surface height above crest.ⓘ Height of Water above Crest of Weir [S_w]			+10% -10%

✖Length of Weir Crest is the measurement or extent of Weir Crest from end to end.ⓘ Length of Crest without considering Velocity [L_w]

⎘ Copy

👎

Formula

✖

Length of Crest without considering Velocity

Formula

`"L"_{"w"} = (("Q"_{"Fr"}*2)/(3*"C"_{"d"}*sqrt(2*"g")))^(2/3)+(0.1*"n"*"S"_{"w"})`

Example

`"2.293543m"=(("8m³/s"*2)/(3*"0.66"*sqrt(2*"9.8m/s²")))^(2/3)+(0.1*"4"*"2m")`

Calculator

LaTeX

Reset

👍

Download Flow Over Rectangular Sharp-Crested Weir or Notch Formulas PDF PDF Image

Length of Crest without considering Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Weir Crest = ((Francis Discharge*2)/(3*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)))^(2/3)+(0.1*Number of End Contraction*Height of Water above Crest of Weir)
L_w = ((Q_Fr*2)/(3*C_d*sqrt(2*g)))^(2/3)+(0.1*n*S_w)
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Length of Weir Crest - (Measured in Meter) - Length of Weir Crest is the measurement or extent of Weir Crest from end to end.
Francis Discharge - (Measured in Cubic Meter per Second) - Francis Discharge is calculated from the empirical formula given by Francis.
Coefficient of Discharge - Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Number of End Contraction - Number of End Contraction 1 can be described as the end contractions acting on a channel.
Height of Water above Crest of Weir - (Measured in Meter) - Height of Water above Crest of Weir is defined as the water surface height above crest.

STEP 1: Convert Input(s) to Base Unit

Francis Discharge: 8 Cubic Meter per Second --> 8 Cubic Meter per Second No Conversion Required
Coefficient of Discharge: 0.66 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Number of End Contraction: 4 --> No Conversion Required
Height of Water above Crest of Weir: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_w = ((Q_Fr*2)/(3*C_d*sqrt(2*g)))^(2/3)+(0.1*n*S_w) --> ((8*2)/(3*0.66*sqrt(2*9.8)))^(2/3)+(0.1*4*2)

Evaluating ... ...

L_w = 2.2935433682893

STEP 3: Convert Result to Output's Unit

2.2935433682893 Meter --> No Conversion Required

FINAL ANSWER

2.2935433682893 ≈ 2.293543 Meter <-- Length of Weir Crest

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Flow Over Notches and Weirs » Flow Over Rectangular Sharp-Crested Weir or Notch » Length of Crest » Length of Crest without considering Velocity

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 9 Length of Crest Calculators

Length of Crest considering Velocity

Go Length of Weir Crest = ((3*Francis Discharge with Suppressed End)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(Still Water Head^(3/2)-Velocity Head^(3/2))))+(0.1*Number of End Contraction*Still Water Head)

Length of Crest given Discharge Passing over Weir

Go Length of Weir Crest = (Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2)))

Length of Crest without considering Velocity

Go Length of Weir Crest = ((Francis Discharge*2)/(3*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)))^(2/3)+(0.1*Number of End Contraction*Height of Water above Crest of Weir)

Length given Bazins Formula for Discharge if Velocity is not considered

Go Length of Weir Crest = Bazins Discharge without Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Height of Water above Crest of Weir^(3/2))

Length of Crest when Francis Formula Discharge and Velocity is considered

Go Length of Weir Crest = (Francis Discharge/(1.84*(Still Water Head^(3/2)-Velocity Head^(3/2))))+(0.1*Number of End Contraction*Still Water Head)

Length when Bazins formula for Discharge if Velocity is considered

Go Length of Weir Crest = Bazins Discharge with Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Still Water Head^(3/2))

Length of Crest when Francis Formula Discharge and Velocity is not considered

Go Length of Weir Crest = (Francis Discharge/(1.84*Height of Water above Crest of Weir^(3/2)))+(0.1*Number of End Contraction*Height of Water above Crest of Weir)

Length of Crest when Discharge and Velocity is considered

Go Length of Weir Crest = Francis Discharge with Suppressed End/(1.84*(Still Water Head^(3/2)-Velocity Head^(3/2)))

Length of Crest when Discharge and Velocity is not considered

Go Length of Weir Crest = Francis Discharge with Suppressed End/(1.84*Still Water Head^(3/2))

Length of Crest without considering Velocity Formula

What is Coefficient of Discharge?

Discharge Coefficient is the ratio of actual discharge through a nozzle or orifice to the theoretical discharge.

How to Calculate Length of Crest without considering Velocity?

Length of Crest without considering Velocity calculator uses Length of Weir Crest = ((Francis Discharge*2)/(3*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)))^(2/3)+(0.1*Number of End Contraction*Height of Water above Crest of Weir) to calculate the Length of Weir Crest, Length of Crest without considering Velocity as it applies to the area of reclamation can be defined as ' The distance, measured along the axis. Length of Weir Crest is denoted by L_w symbol.

How to calculate Length of Crest without considering Velocity using this online calculator? To use this online calculator for Length of Crest without considering Velocity, enter Francis Discharge (Q_Fr), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Number of End Contraction (n) & Height of Water above Crest of Weir (S_w) and hit the calculate button. Here is how the Length of Crest without considering Velocity calculation can be explained with given input values -> 2.293543 = ((8*2)/(3*0.66*sqrt(2*9.8)))^(2/3)+(0.1*4*2).

FAQ

What is Length of Crest without considering Velocity?

Length of Crest without considering Velocity as it applies to the area of reclamation can be defined as ' The distance, measured along the axis and is represented as L_w = ((Q_Fr*2)/(3*C_d*sqrt(2*g)))^(2/3)+(0.1*n*S_w) or Length of Weir Crest = ((Francis Discharge*2)/(3*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)))^(2/3)+(0.1*Number of End Contraction*Height of Water above Crest of Weir). Francis Discharge is calculated from the empirical formula given by Francis, Coefficient of Discharge is ratio of Actual discharge to theoretical discharge, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Number of End Contraction 1 can be described as the end contractions acting on a channel & Height of Water above Crest of Weir is defined as the water surface height above crest.

How to calculate Length of Crest without considering Velocity?

Length of Crest without considering Velocity as it applies to the area of reclamation can be defined as ' The distance, measured along the axis is calculated using Length of Weir Crest = ((Francis Discharge*2)/(3*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)))^(2/3)+(0.1*Number of End Contraction*Height of Water above Crest of Weir). To calculate Length of Crest without considering Velocity, you need Francis Discharge (Q_Fr), Coefficient of Discharge (C_d), Acceleration due to Gravity (g), Number of End Contraction (n) & Height of Water above Crest of Weir (S_w). With our tool, you need to enter the respective value for Francis Discharge, Coefficient of Discharge, Acceleration due to Gravity, Number of End Contraction & Height of Water above Crest of Weir and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Length of Weir Crest?

In this formula, Length of Weir Crest uses Francis Discharge, Coefficient of Discharge, Acceleration due to Gravity, Number of End Contraction & Height of Water above Crest of Weir. We can use 8 other way(s) to calculate the same, which is/are as follows -

Length of Weir Crest = (Francis Discharge with Suppressed End*3)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*((Height of Water above Crest of Weir+Velocity Head)^(3/2)-Velocity Head^(3/2)))
Length of Weir Crest = ((3*Francis Discharge with Suppressed End)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*(Still Water Head^(3/2)-Velocity Head^(3/2))))+(0.1*Number of End Contraction*Still Water Head)
Length of Weir Crest = (Francis Discharge/(1.84*Height of Water above Crest of Weir^(3/2)))+(0.1*Number of End Contraction*Height of Water above Crest of Weir)
Length of Weir Crest = (Francis Discharge/(1.84*(Still Water Head^(3/2)-Velocity Head^(3/2))))+(0.1*Number of End Contraction*Still Water Head)
Length of Weir Crest = Francis Discharge with Suppressed End/(1.84*Still Water Head^(3/2))
Length of Weir Crest = Francis Discharge with Suppressed End/(1.84*(Still Water Head^(3/2)-Velocity Head^(3/2)))
Length of Weir Crest = Bazins Discharge without Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Height of Water above Crest of Weir^(3/2))
Length of Weir Crest = Bazins Discharge with Velocity/(Bazins Coefficient*sqrt(2*Acceleration due to Gravity)*Still Water Head^(3/2))

Home

FREE PDFs

🔍 Search